It depends on how you define power. Asuming all things are working as they should. Your 773 has 16.9 gpm at 3000 psi
The haldex pump MAY have more volume at a lower psi. So this means whenn the splitter is not under load it can move the cylinder faster. ( if this is true) However your loader will definitely have more flow when the going gets tough for the splliter
I'm not sure at what psi these pumps switch from hi flow to low flow and if this occurs the moment the wedge touches the wood or if some wood splits so easy that the pump stays on the high volume side during the split or a portion of it.
I have a spitter with a 4" by 24 cylinder, it works best on my NH ls 160 that has 15 gpm on low flow and 24 gpm on high flow, On high flow I can run the engine about 2000 or 2100 and still get a decent speed on the cylinder, I have used it vary little as I just got it last spring, but the temptation is there to run the rpm higher yet
Hydraulic oil will quickly warm to 120 and levels off @ 130 degrees in our 75 degree ambient temps but if your splitter cylinder is getting too hot to touch for more then a second or two (generally that means over 140 or 150 degrees then you may have other problems.
If you have too small or lines in your system or other restrictions or you are contantly bottoming out the cylinder or the cylinder is too small (which means its faster but has less power) and it is stopping because the relief pressure is being reached, these will all heat the oil, but a bobcat does have a prety good oil cooler, for our climate anyway.
Are you using a manual valve at the splitter or are you running your cylinder from inside the cab? What is the bore on your cylinder 4" ??
5" would be overkill for the wood I split, and would slow the splitter considerably by greatly increasing the volume of oil required to fill the cylinder, although it would have tremendous force
Ken